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Abstract

Thermal nonlinearity is known to cause bistability in Whispering Gallery Mode (WGM) resonators and to destabilize the red slope of the Lorentzian resonant curve. We demonstrate an optical technique that allows compensation of the thermal effect and forces the resonances to appear linear with both red and blue slopes stable.

Figures (4)

Fig. 2 A) experimental frequency scans of a WGM resonance at 1450 nm without (red) and with stabilization (blue). B) solutions of the system (4). WGM resonance with thermal effect (red dots show unstable solutions). Solutions for the same mode when the stabilizing laser is activated constitute a nearly Lorentzian lineshape. Note the frequency shift of the stabilized resonance caused by heating from the stabilizing WGM.

Fig. 3 Optical cooling and amplification of a 70 MHz mechanical mode of the optical resonator. Broadening and narrowing of the mechanical spectrum occurs due to optomechanical cooling and amplification in the unresolved sideband regime. Colored lines represent Lorentzian fits of the experimentally recorded spectra. Inset shows an optical photograph of the resonator near the fiber coupler.

Fig. 4 Left panel: Phase diagram of temperature change of the cavity upon application of a blue detuned pump. There is always a single, stable steady-state solution. Right panel: Phase diagram of temperature change of the cavity upon using a red detuned pump. The thermal bistability may arise at sufficient pump power. The excitation of a stabilizing mode can compensate the nonlinearity via a saddle-node bifurcation.